Surface self-organization in multilayer film coatings

Shuvalov, Gleb M.; Kostyrko, Sergey A.

doi:10.1063/1.5013877

Cited by 8 publications

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“…In this case, the critical wavelength of the perturbated surface, which corresponds to the steady relief, is directly proportional to the ratio of the surface energy to the elastic energy of deformation calculated at the curved surface. The ATG model of morphological instability was applied in many areas: the researchers analyzed the morphological evolution of voids, microchannels, cylindrical fibers and spherical particles embedded in matrix, core-shell nanowires, mono-and multilayered thin films [3][4][5].…”

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Stability analysis of a nanopatterned bimaterial interface

Shuvalov¹,

Kostyrko²

2021

Vestnik SPbSU. Applied Mathematics. Computer Science. Control P

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In the article it is shown that the nanopatterned interface of bimaterial is unstable due to the diffusion atom flux along the interface. The main goal of the research is to analyze the conditions of interface stability. The authors developed a model coupling thermodynamics and solid mechanics frameworks. In accordance with the Gurtin—Murdoch theory of surface/interface elasticity, the interphase between two materials is considered as a negligibly thin layer with the elastic properties differing from those of the bulk materials. The growth rate of interface roughness depends on the variation of the chemical potential at the curved interface, which is a function of interface and bulk stresses. The stress distribution along the interface is found from the solution of plane elasticity problem taking into account plane strain conditions. Following this, the linearized evolution equation is derived, which describes the amplitude change of interface perturbation with time.

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“…Conclusion. This paper contains the further development of the theoretical methods for studying the formation of topological defects on free and interfacial surfaces of composite materials [5,15]. Based on thermodynamics and solid mechanics framework, we derived the equation which describes the change of perturbation amplitude with time.…”

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confidence: 99%